Question

Use the inverse of the function y = x2 − 18x to find the unknown values.

y=+- square root bx + c +d

b=
c=
d=

Answer 1

Answer: b=1, c=81, d=9

Explanation:

Answer 2

b=1, c=81, and d=9.

EXPLANATION

The given function is:

`y={x}^(2)-18x`

This function is the same as:

`y={(x - 9)}^(2)-81`

To find the inverse of this function, we interchange x and y.

`x={(y-9)}^(2)-81`

Solve for y:

`x+81={(y- 9)}^(2)`

Take square root of both sides:

`\pm √(x + 81)=y-9`

`y=\pm √(x + 81)+9`

Hence,

b=1, c=81, and d=9.